The toric variety \(T_{\binom{A}{c}}\)  is the total space
of the Gröbner degeneration of \(T_A\)  given by \(c\) , as in [1]}.
The degree of \(T_{\binom{A}{c}}\)  is the normalized volume
of the convex hull of the \(n\)  columns of \(\binom{A}{c}\)  together with the origin in \(\mathbb {R}^{d+1}\) .
This volume is a subtle invariant which incorporates both geometric and arithmetic properties of
the integer entries of \(A\)  and \(c\) .
